1311032012312 has 128 divisors (see below), whose sum is σ = 2878654464000. Its totient is φ = 553131970560.

The previous prime is 1311032012291. The next prime is 1311032012371. The reversal of 1311032012312 is 2132102301131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110732489 + ... + 110744327.

It is an arithmetic number, because the mean of its divisors is an integer number (22489488000).

Almost surely, 2^{1311032012312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311032012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439327232000).

1311032012312 is an abundant number, since it is smaller than the sum of its proper divisors (1567622451688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311032012312 is a wasteful number, since it uses less digits than its factorization.

1311032012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12885 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1311032012312 its reverse (2132102301131), we get a palindrome (3443134313443).

The spelling of 1311032012312 in words is "one trillion, three hundred eleven billion, thirty-two million, twelve thousand, three hundred twelve".